Mathematica(R) by Example (eBook)

Martha L Abell, James P. Braselton (Autoren)

eBook Download: PDF

2014 | 2. Auflage
536 Seiten
Elsevier Science (Verlag)
978-1-4832-1390-3 (ISBN)

Infos

Mathematica by Example, Revised Edition presents the commands and applications of Mathematica, a system for doing mathematics on a computer. This text serves as a guide to beginning users of Mathematica and users who do not intend to take advantage of the more specialized applications of Mathematica. The book combines symbolic manipulation, numerical mathematics, outstanding graphics, and a sophisticated programming language. It is comprised of 7 chapters. Chapter 1 gives a brief background of the software and how to install it in the computer. Chapter 2 introduces the essential commands of Mathematica. Basic operations on numbers, expressions, and functions are introduced and discussed. Chapter 3 provides Mathematica's built-in calculus commands. The fourth chapter presents elementary operations on lists and tables. This chapter is a prerequisite for Chapter 5 which discusses nested lists and tables in detail. The purpose of Chapter 6 is to illustrate various computations Mathematica can perform when solving differential equations. Chapter 7 discusses some of the more frequently used commands contained in various graphics packages available with Mathematica. Engineers, computer scientists, physical scientists, mathematicians, business professionals, and students will find the book useful.

Inhalt

Front Cover 
1 
Mathematics by Example 4
Copyright Page 5
Table of Contents 6
Preface 12
CHAPTER 1. Getting Started 14
1.1 Introduction to Mathematica 14
1.2 Getting Started with Mathematica 15
1.3 Loading Packages 17
1.4 Getting Help from Mathematica 21
CHAPTER 2. Mathematical Operationson Numbers, Expressions, and Functions 36
2.1 Numerical Calculations and Built-in Functions 36
2.2 Expressions and Functions 53
2.3 Graphing Functions, Expressions, and Equations 69
2.4 Exact and Approximate Solutions of Equations 97
CHAPTER 3. Calculus 114
3.1 Computing Limits 114
3.2 Differential Calculus 123
3.3 Implicit Differentiation 155
3.4 Integral Calculus 162
3.5 Series 186
3.6 Multivariable Calculus 214
CHAPTER 4. Introduction to Lists and Tables 242
4.1 Defining Lists 242
4.2 Operations on Lists 249
4.3 Mathematics of Finance 265
4.4 Other Applications 285
CHAPTER 5. Nested Lists: Matrices and Vectors 308
5.1 Nested Lists: Introduction to Matrices, Vectors, and Matrix Operations 309
5.2 Linear Systems of Equations 321
5.3 Selected Topics from Linear Algebra 329
5.4 Maxima and Minima Using Linear Programming 350
5.5 Vector Calculus 360
CHAPTER 6. Applications Related to Ordinary and Partial Differential Equations 376
6.1 First-Order Ordinary Differential Equations 377
6.2 Higher-Order Ordinary Differential Equations 400
6.3 Power Series Solutions of Ordinary Differential Equations 424
6.4 Using the Laplace Transform to Solve Ordinary Differential Equations 439
6.5 Systems of Ordinary Differential Equations 454
6.6 Some Partial Differential Equations 474
CHAPTER 7. Some Graphies Packages 494
7.1 ComplexMap 495
7.2 ContourPlot3D 498
7.3 Graphics 500
7.4 ImplicitPlot 505
7.5 MultipleListPlot and Graphics3D 508
7.6 PlotField and PlotField3D 509
7.7 Polyhedra and Shapes 513
Selected References 522
Index 524

Produkt-Details

• Erscheint lt. Verlag: 9.5.2014
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik
• ISBN-10: 1-4832-1390-0 / 1483213900
• ISBN-13: 978-1-4832-1390-3 / 9781483213903